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1003012402040 = 235117132106671
BaseRepresentation
bin11101001100010000011…
…00101010101101111000
310112212221122210022012222
432212020030222231320
5112413132133331130
62044435540423212
7132315403514165
oct16461014525570
93485848708188
101003012402040
11357414397160
121424829a7b08
137377840305c
143679055b06c
151b155e59ce5
hexe98832ab78

1003012402040 has 64 divisors (see below), whose sum is σ = 2496614814720. Its totient is φ = 359594704000.

The previous prime is 1003012402031. The next prime is 1003012402069. The reversal of 1003012402040 is 402042103001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16022096 + ... + 16084575.

It is an arithmetic number, because the mean of its divisors is an integer number (39009606480).

Almost surely, 21003012402040 is an apocalyptic number.

1003012402040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003012402040 is an abundant number, since it is smaller than the sum of its proper divisors (1493602412680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1003012402040 is a wasteful number, since it uses less digits than its factorization.

1003012402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32106764 (or 32106760 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 1003012402040 its reverse (402042103001), we get a palindrome (1405054505041).

The spelling of 1003012402040 in words is "one trillion, three billion, twelve million, four hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1562 2840 3124 3905 6248 7810 15620 31240 32106671 64213342 128426684 160533355 256853368 321066710 353173381 642133420 706346762 1284266840 1412693524 1765866905 2279573641 2825387048 3531733810 4559147282 7063467620 9118294564 11397868205 14126935240 18236589128 22795736410 25075310051 45591472820 50150620102 91182945640 100301240204 125376550255 200602480408 250753100510 501506201020 1003012402040